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    Kinetic Alfven wave instability in a Lorentzian dusty magnetoplasma
[Text] / N. Rubab [et al.] // Phys. Plasmas. - 2010. - Vol. 17, Is. 10. - Ст. 103704, DOI 10.1063/1.3491336. - Cited References: 54. - This work is funded by the Higher Education Commission of Pakistan under the HEC-Overseas scholarship program Grant No. Ref: 1-1/PM OS /Phase-II/Batch-I/Austria/2007/. Part of this work was done while N. V. Erkaev was at the Space Research Institute of the Austrian Academy of Sciences in Graz. This work is also supported due to the RFBR Grant No. 09-05-91000-ANF-a. Further support is due to the "Austrian Fonds zur Forderung der Wissenschaftlichen Forschung" under Grant No. P20145-N16. . - ISSN 1070-664X
РУБ Physics, Fluids & Plasmas

Аннотация: This study presents a theoretical approach to analyze the influence of kappa distributed streaming ions and magnetized electrons on the plasma wave propagation in the presence of dust by employing two-potential theory. In particular, analytical expressions under certain conditions are derived for various modes of propagation comprising of kinetic Alfven wave streaming instability, two stream instability, and dust acoustic and whistler waves. A dispersion relation for kinetic Alfven-like streaming instability has been derived. The effects of dust particles and Lorentzian index on the growth rates and the threshold streaming velocity for the excitation of the instability are examined. The streaming velocity is observed to be destabilizing for slow motion and stabilizing for fast streaming motions. It is also observed that the presence of magnetic field and superthermal particles hinders the growth rate of instability. Possible applications to various space and astrophysical situations are discussed. (C) 2010 American Institute of Physics. [doi:10.1063/1.3491336]


Доп.точки доступа:
Rubab, N.; Erkaev, N.V.; Еркаев, Николай Васильевич; Langmayr, D.; Biernat, H.K.
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    The Influence of Changes in the Internal Energy of the Interface on a Two-Layer Flow in a Cylinder
/ E. P. Magdenko // J. Sib. Fed. Univ.-Math. Phys. - 2019. - Vol. 12, Is. 2. - P213-221, DOI 10.17516/1997-1397-2019-12-2-213-221. - Cited References:12. - This research was supported by the Russian Foundation for Basic Research (grant no. 17-01-00229). . - ISSN 1997-1397. - ISSN 2313-6022
РУБ Mathematics
Рубрики:
TEMPERATURE
Кл.слова (ненормированные):
nonlinear inverse problem -- Marangoni number -- energy condition -- creeping -- thermocapillary motion -- Himentsa solution

Аннотация: The exact solution of the equations of the creeping flow model with the Himentsa type velocity field is considered in this paper. The solution describes thermocapillary convection in layers. It is interpreted as the motion of viscous heat-conducting liquids in a cylinder with solid walls and combined movable non-deformable interface. At the same time there are no mass forces. From a mathematical point of view the resulting initial-boundary problem is inversible and nonlinear because the total energy condition at the interface is taken into account. It is established that there can be two such solutions.

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Держатели документа:
Inst Computat Modelling SB RAS, Academgorodok 50-44, Krasnoyarsk 660041, Russia.
Siberian Fed Univ, Inst Math & Comp Sci, Svobodny 79, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Magdenko, Evgeniy P.; Russian Foundation for Basic Research [17-01-00229]
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